Yazd UniversityAlgebraic Structures and Their Applications2382-97613220161101The remoteness of the permutation code of the group $U_{6n}$71791057ENMasoomehYazdani-MoghaddamDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, IranRezaKahkeshaniDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran0000-0001-8044-803XJournal Article20170629Recently, a new parameter of a code, referred to as the remoteness, has been introduced.<br />This parameter can be viewed as a dual to the covering radius. It is exactly determined for the cyclic and dihedral groups. In this paper, we consider the group $U_{6n}$ as a subgroup of $S_{2n+3}$ and obtain its remoteness. We show that the remoteness of the permutation code $U_{6n}$ is $2n+2$. Moreover, it is proved that the covering radius of $U_{6n}$ is also $2n+2$.https://as.yazd.ac.ir/article_1057_758aa9213fb349f92e6a2c3f83d75f99.pdf